Title: Recent developments in Boltzmann boundary problems.

Abstract: We will present Recent developments in the study of the (cutoff type) Boltzmann equation within physically bounded domains. 

Solutions to physical boundary value problems for the Boltzmann equation are generally understood to be non-smooth, and their analytic behavior is intricately tied to the geometry of the domain boundary. 

This discussion will include a review of current regularity results for Boltzmann boundary problems, alongside an examination of global Solutions in low regularity function spaces that converge to equilibrium.

Using This, I will explain several formulas of orbital integrals for classical Lie algebras and its arithmetic applications. I will try to organize the talk as easy as possible, so as to be accessible to undergraduate students of the math department. 

It will be given in Korean.

Speaker: Donghyun Lee(POSTECH)